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10314750768 = 243767458189
BaseRepresentation
bin10011001101100111…
…01001101100110000
3222121212000122000020
421212303221230300
5132111034011033
64423304523440
7513415635450
oct114663515460
928555018006
1010314750768
114413453a13
121bba480580
13c84c8132a
146dbc95d60
154058326b3
hex266ce9b30

10314750768 has 80 divisors (see below), whose sum is σ = 30907664640. Its totient is φ = 2903079168.

The previous prime is 10314750763. The next prime is 10314750791. The reversal of 10314750768 is 86705741301.

10314750768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10314750763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206583 + ... + 251606.

It is an arithmetic number, because the mean of its divisors is an integer number (386345808).

Almost surely, 210314750768 is an apocalyptic number.

It is an amenable number.

10314750768 is an abundant number, since it is smaller than the sum of its proper divisors (20592913872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10314750768 is a wasteful number, since it uses less digits than its factorization.

10314750768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458274 (or 458268 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 10314750768 in words is "ten billion, three hundred fourteen million, seven hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 804 938 1072 1407 1608 1876 2814 3216 3752 5628 7504 11256 22512 458189 916378 1374567 1832756 2749134 3207323 3665512 5498268 6414646 7331024 9621969 10996536 12829292 19243938 21993072 25658584 30698663 38487876 51317168 61397326 76975752 92095989 122794652 153951504 184191978 214890641 245589304 368383956 429781282 491178608 644671923 736767912 859562564 1289343846 1473535824 1719125128 2578687692 3438250256 5157375384 10314750768